Whakaoti i te x^2-6px+3y=0

$$x ^ { 2 } - 6 p x + 3 y = 0$$

Whakaoti mō p (complex solution)

$$\left\{\begin{matrix}p=\frac{x}{6}+\frac{y}{2x}\text{, }&x\neq 0\\p\in \mathrm{C}\text{, }&y=0\text{ and }x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te x^{2} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-6px+3y=-x^{2}$$

Tangohia te 3y mai i ngā taha e rua.

$$-6px=-x^{2}-3y$$

He hanga arowhānui tō te whārite.

$$\left(-6x\right)p=-x^{2}-3y$$

Whakawehea ngā taha e rua ki te -6x.

$$\frac{\left(-6x\right)p}{-6x}=\frac{-x^{2}-3y}{-6x}$$

Mā te whakawehe ki te -6x ka wetekia te whakareanga ki te -6x.

$$p=\frac{-x^{2}-3y}{-6x}$$

Whakawehe -x^{2}-3y ki te -6x.

$$p=\frac{x}{6}+\frac{y}{2x}$$

Whakaoti mō p

$$\left\{\begin{matrix}p=\frac{x}{6}+\frac{y}{2x}\text{, }&x\neq 0\\p\in \mathrm{R}\text{, }&y=0\text{ and }x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te x^{2} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-6px+3y=-x^{2}$$

Tangohia te 3y mai i ngā taha e rua.

$$-6px=-x^{2}-3y$$

He hanga arowhānui tō te whārite.

$$\left(-6x\right)p=-x^{2}-3y$$

Whakawehea ngā taha e rua ki te -6x.

$$\frac{\left(-6x\right)p}{-6x}=\frac{-x^{2}-3y}{-6x}$$

Mā te whakawehe ki te -6x ka wetekia te whakareanga ki te -6x.

$$p=\frac{-x^{2}-3y}{-6x}$$

Whakawehe -x^{2}-3y ki te -6x.

$$p=\frac{x}{6}+\frac{y}{2x}$$

Whakaoti mō x (complex solution)

$$x=\sqrt{9p^{2}-3y}+3p$$

$$x=-\sqrt{9p^{2}-3y}+3p$$

Whakaoti mō x

$$x=\sqrt{9p^{2}-3y}+3p$$

$$x=-\sqrt{9p^{2}-3y}+3p\text{, }y\leq 3p^{2}$$